{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "from ggplot import *\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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StuFtGhoayp49e9JqtdJoNDI4OJiBgYGyYwEAK5DLcfA2DQ8Pp9VqJUlarVZGRkZKTgQA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\nQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x112446490>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<ggplot: (287589981)>"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ggplot(mtcars, aes(x='wt', y='mpg')) + \\\n",
    "    geom_point() + \\\n",
    "    geom_vline(x=4.5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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Av5dlJAAAUBBlGwAACqJsAwBAQZRtAAAoSEd8QPLIkSMZGRnJ1NRUarVahoeHc/XVV+eR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\nNgAAFETZBgCAgvx/0Q7fTBSy+L0AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x113a18d10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<ggplot: (289020017)>"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ggplot(mtcars, aes(x='wt', y='mpg')) + \\\n",
    "    geom_point() + \\\n",
    "    geom_vline(x=[2, 3, 4, 5])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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n6+qrr1Z3d7fWr1+vkydPqqSkREuWLFEwGDQ9LgAAANDHE4Xctm0tXLhQEyZM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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1180b3490>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<ggplot: (293647145)>"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ggplot(mtcars, aes(x='wt', y='mpg', color='factor(cyl)')) + \\\n",
    "    geom_point() + \\\n",
    "    geom_vline(color='black', x=range(6))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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LQPeG/mHDhqHT6WhtbaWyshKTyYRCoeCZZ55h165dfr46QSAhpukE/c71SjLf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\nJi7mnvXVqPAAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11a2cb3d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<ggplot: (298180021)>"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ggplot(diamonds, aes(x='carat', y='price')) + \\\n",
    "    geom_point() + \\\n",
    "    geom_vline(color='turquoise', x=range(7)) + \\\n",
    "    facet_wrap(\"clarity\")"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 2",
   "language": "python",
   "name": "python2"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.11"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}
